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Finding the Fourth Proportional to 50,220.84, 75,311.40 and 22,142.16

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Solution

The fourth proportional to 50,220.84, 75,311.40 and 22,142.16 is: 33,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220.84 : 75,311.40 = 22,142.16 : x
  2. Step 2: Convert to fraction form
    50,220.84/75,311.40 = 22,142.16/x
  3. Step 3: Cross multiply
    50,220.84x = 75,311.40 × 22,142.16
  4. Step 4: Simplify right side
    50,220.84x = 1,667,557,068.62
  5. Step 5: Solve for x
    x = 1,667,557,068.62/50,220.84
  6. Step 6: Final answer
    x = 33,204.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.